Greatest Common Factor of 463/41, 283/40, 571/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 463/41, 283/40, 571/615

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 463/41,283/40,571/615

Given fractions are 463/41,283/40,571/615

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 463,283,571

Greatest Common Factor of Numerators i.e. GCF of 463,283,571 is 1 .

LCM of Denominators means LCM of 41,40,615 as per the given fractions.

LCM of 41,40,615 is 4920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 463,283,571

GCF of Fractions 463/41,283/40,571/615 is 1/4920

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 463,283,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,283,571 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 463,283,571 . The biggest common factor number is the GCF number.
So the greatest common factor 463,283,571 is 1.

Lets's calculate LCM of 41,40,615

5 41, 40, 615
41 41, 8, 123
1, 8, 3

∴ So the LCM of the given numbers is 5 x 41 x 1 x 8 x 3 = 4920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4920

Therefore, the GCF of Fractions 463/41,283/40,571/615 is 1/4920

Least Common Multiple of 41,40,615 with GCF Formula

Least Common Multiple of 41,40,615 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 41,40,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,40,615) = 1

common factors(in case of two or more numbers have common factors) = 205

GCF(41,40,615) x common factors =1 x 205 = 205

LCM(41,40,615) = ( 41 × 40 × 615 ) / 205

LCM(41,40,615) = 1008600 / 205

LCM(41,40,615) = 4920


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 463/41, 283/40, 571/615

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 463/41, 283/40, 571/615?

Answer: GCF of Numerators as per given numbers 463/41, 283/40, 571/615 is

GCF of Numerators i.e. for 463,283,571 is 1

LCM of denominators i.e. for 41,40,615 is 4920.

Thus, GCF of Fractions is 1/4920.Finally, GCF of Fractions for 463/41, 283/40, 571/615 is 1/4920.